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3 years ago

The ratio of men to women in a certain factory is 3 to 4. There are 210 men

1 answer:

8 0

You can solve this by setting up a proportion. The number of men over the number of women. 3/4 = 210/x Cross multiply 3x = 4(210) Multiply 3x = 840 Divide x = 280 When there are 210 men, there are 280 women.

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On the coordinate plane below, what is the length of AB? A coordinate plane is shown with a rectangle with the following points

love history [14]

The length of AB wit the coordinate (-6, 5) and (8,5). is 14 units

<h3>Distance between two points</h3>

A rectangle is a quadrilateral with 4 sides and angles

Taking the length of AB.

Since AB is slant line, the length of AB will be determined using the distance formula as shown;

D = √(-6-8)² +(5-5)

D = √(-14)²

D = AB = 14 units

Hence the length of AB wit the coordinate (-6, 5) and (8,5). is 14 units

Learn more on distance here: brainly.com/question/1872885

#SPJ1

8 0

2 years ago

A rectangle as an area of 240 square ft the base is 15 what is the height of the rectangle

zhannawk [14.2K]

Answer:

16 ft

Step-by-step explanation:

Hi there,

The formula for the area of a rectangle is A = b*h.

So, let's start out by plugging in what we know.

240 = 15h

Now, solve for h by dividing both sides by 15

h = 16

So, the height of the rectangle is 16 ft

Hope this helps! Stay safe!

- Emily

5 0

3 years ago

Carlos has 2 dollars more than half of the total amount of money his brother has. If x represents the amount of money Carlos's b

salantis [7]

Answer:

$y = 2 + \frac{1}{2}x$

Step-by-step explanation:

Given

Represent Carlos with y and his brother with x.

Analysing the statement one after the other:

Half of his brother's amount is: $\frac{1}{2}x$

$2 more: means we add 2 to $\frac{1}{2}x$

So, we have: $2 + \frac{1}{2}x$

The above represent Carlos's amount.

So, the expression is:

$y = 2 + \frac{1}{2}x$

5 0

3 years ago

A 20-foot pole leaning against a wall reaches a point 18 feet above the ground .what is the angle which the pole makes with the

dlinn [17]

Sinα=h/L

α=arcsin(h/L)° we are told that h=18 and L=20 so

α=arcsin(9/10)°

α≈64° (to nearest whole degree)

3 0

3 years ago

Alexis washes 10 1/2 windows in 3/4 hours. At this rate, how many windows can she wash in one hour?

Zepler [3.9K]

Alexis can wash a total of 14 windows in 1 hour

<h3><u>Solution:</u></h3>

Given that Alexis washes $10\frac{1}{2}$ windows in $\frac{3}{4}$ hours

<u><em>To find: </em></u>number of windows washed in one hour

To simplify the calculations we will convert the given mixed fraction to improper fraction

$\begin{array}{l}{=10 \frac{1}{2}} \\\\ {=\frac{2 \times 10+1}{2}} \\\\ {=\frac{21}{2}=10.5}\end{array}$

Hence, to wash 10.5 windows, Alexis takes 0.75 hours

Let "n" be the number of windows washed in 1 hour

10.5 windows ⇒ 0.75 hours

"n" windows ⇒ 1 hour

By cross-multiplication we get,

$n \times 0.75 = 10.5 \times 1$

$n = \frac{10.5}{0.75} \\\\n = 14$

Thus Alexis can wash 14 windows in one hour

4 0

4 years ago